Random Walks on Sierpiński Graphs: Hyperbolicity and Stochastic Homogenization

By Vadim A. Kaimanovich. 2003

76 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b7c8f203592bcf9c4be90a1b531ba4620d36041b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Ka-Sing Lau
2. Omer Angel
3. Asaf Nachmias
4. Gourab Ray
5. Jun Jason Luo
6. Tom Hutchcroft

In Geometry and Topology

1. Jun Jason Luo
2. Ka-Sing Lau
3. Omer Angel
4. Asaf Nachmias
5. Gourab Ray
6. Tom Hutchcroft

In Mathematical Physics

1. Jun Jason Luo
2. Asaf Nachmias
3. Ka-Sing Lau
4. Omer Angel
5. Gourab Ray
6. Tom Hutchcroft
7. Nicolas Curien
8. Jean-François Le Gall

Citations in the corpus

• Hyperbolic and Parabolic Unimodular Random Maps (2016, result): “Meanwhile, it is a result of Benjamini and Curien [9], generalizing the work of Kaimanovich, Vershik, and others [54, 53, 52, 51, 50, 49], that every non-Liouville unimodular random rooted graph with finite expected degree and at most exponential growth has positive speed.”
• Lipschitz equivalence of self-similar sets and hyperbolic boundaries (2012, methodology): “Our interest is on the following tree structure introduced by Kaimanovich which is used to study the self-similar sets ([9,12]).”